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Annales Polonici Mathematici最新文献

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$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality $L_p$ -Busemann-Petty质心不等式的$q$- quermass积分形式
4区 数学
Annales Polonici Mathematici Pub Date : 2023-01-01 DOI: 10.4064/ap221124-29-5
Hui Xue, Weidong Wang
{"title":"$q$-Quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality","authors":"Hui Xue, Weidong Wang","doi":"10.4064/ap221124-29-5","DOIUrl":"https://doi.org/10.4064/ap221124-29-5","url":null,"abstract":"Lutwak, Yang and Zhang established the $L_p$-Busemann–Petty centroid inequality. We establish the $q$-quermassintegral forms of the $L_p$-Busemann–Petty centroid inequality for convex bodies. As special cases, we obtain the quermassintegral and harmonic q","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136203681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The geometry of Randers cylinders of revolution with non-constant navigation data along meridians 沿子午线非恒定导航数据的兰德斯旋转圆柱体的几何形状
4区 数学
Annales Polonici Mathematici Pub Date : 2023-01-01 DOI: 10.4064/ap221017-13-8
Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau
{"title":"The geometry of Randers cylinders of revolution with non-constant navigation data along meridians","authors":"Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau","doi":"10.4064/ap221017-13-8","DOIUrl":"https://doi.org/10.4064/ap221017-13-8","url":null,"abstract":"We study the structure of cut loci of a Finsler metric of Randers type defined on a cylindrical surface of revolution. Our Randers metrics are obtained by perturbing the Riemannian metric with a closed one-form, which is equivalent to the solution of Zerm","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and stability results for a class of nonlocal semilinear equations involving delays 一类涉及时滞的非局部半线性方程的存在性和稳定性结果
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2023-01-01 DOI: 10.4064/ap220912-5-4
Nguyễn Như Quân
{"title":"Existence and stability results for a class of nonlocal semilinear equations involving delays","authors":"Nguyễn Như Quân","doi":"10.4064/ap220912-5-4","DOIUrl":"https://doi.org/10.4064/ap220912-5-4","url":null,"abstract":". We investigate the existence and weak stability of mild solutions for a class of nonlocal semilinear equations involving finite delays. Based on local estimates and fixed point arguments, we prove the global existence of mild solutions to problems in which the nonlinearity is superlinear or sublinear without the smallness condition on initial data or on the coefficients. Then by using a special measure of noncompactness, we show some sufficient conditions ensuring the weak stability of mild solutions.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70585686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A result related to the Sendov conjecture 一个与先多夫猜想有关的结果
4区 数学
Annales Polonici Mathematici Pub Date : 2023-01-01 DOI: 10.4064/ap221118-1-6
Robert Dalmasso
{"title":"A result related to the Sendov conjecture","authors":"Robert Dalmasso","doi":"10.4064/ap221118-1-6","DOIUrl":"https://doi.org/10.4064/ap221118-1-6","url":null,"abstract":"The Sendov conjecture asserts that if $p(z) = prod_{j=1}^{N}(z-z_j)$ is a polynomial with zeros $|z_j| leq 1$, then each disk $|z-z_j| leq 1$ contains a zero of $p'$. Our purpose is the following: Given a zero $z_j$ of order $n geq 2$, determine whether there exists $zeta not= z_j$ such that $p'(zeta) = 0$ and $|z_j - zeta| leq 1$. In this paper we present some partial results on the problem.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135400028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Number of triple points on complete intersection Calabi–Yau threefolds 卡拉比-丘三倍完全交点上的三点数目
4区 数学
Annales Polonici Mathematici Pub Date : 2023-01-01 DOI: 10.4064/ap230213-20-8
Kacper Grzelakowski
{"title":"Number of triple points on complete intersection Calabi–Yau threefolds","authors":"Kacper Grzelakowski","doi":"10.4064/ap230213-20-8","DOIUrl":"https://doi.org/10.4064/ap230213-20-8","url":null,"abstract":"We discuss bounds for the number of ordinary triple points on complete intersection Calabi–Yau threefolds in projective spaces and for Calabi–Yau threefolds in weighted projective spaces. In particular, we show that in $mathbb {P}^5$ the intersection of","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136209315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Restricted log-exp-analytic power functions 限制对数exp解析幂函数
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-12-18 DOI: 10.4064/ap221218-2-6
Andre Opris
{"title":"Restricted log-exp-analytic power functions","authors":"Andre Opris","doi":"10.4064/ap221218-2-6","DOIUrl":"https://doi.org/10.4064/ap221218-2-6","url":null,"abstract":"A preparation theorem for compositions of restricted log-exp-analytic functions and power functions of the form $$h: mathbb{R} to mathbb{R}, x mapsto left{begin{array}{ll} x^r,&x>0, 0,&textnormal{ else, } end{array}right.$$ for $r in mathbb{R}$ is given. Consequently we obtain a parametric version of Tamm's theorem for this class of functions which is indeed a full generalisation of the parametric version of Tamm's theorem for $mathbb{R}_{textnormal{an}}^{mathbb{R}}$-definable functions.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43986513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weighted Green functions for complex Hessian operators 复Hessian算子的加权Green函数
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-06-11 DOI: 10.4064/ap220509-27-10
Hadhami Elaini, A. Zeriahi
{"title":"Weighted Green functions for complex Hessian operators","authors":"Hadhami Elaini, A. Zeriahi","doi":"10.4064/ap220509-27-10","DOIUrl":"https://doi.org/10.4064/ap220509-27-10","url":null,"abstract":"Let $1leq mleq n$ be two fixed integers. Let $Omega Subset mathbb C^n$ be a bounded $m$-hyperconvex domain and $mathcal A subset Omega times ]0,+ infty[$ a finite set of weighted poles. We define and study properties of the $m$-subharmonic Green function of $Omega$ with prescribed behaviour near the weighted set $A$. In particular we prove uniform continuity of the exponential Green function in both variables $(z,mathcal A)$ in the metric space $bar Omega times mathcal F$, where $mathcal F$ is a suitable family of sets of weighted poles in $Omega times ]0,+ infty[$ endowed with the Hausdorff distance. Moreover we give a precise estimates on its modulus of continuity. Our results generalize and improve previous results concerning the pluricomplex Green function du to P. Lelong.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48693816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Viscosity solutions toparabolic complex Hessian type equations 粘度解对抛物复Hessian型方程
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-30 DOI: 10.4064/ap220130-7-9
H. Do
{"title":"Viscosity solutions to\u0000parabolic complex Hessian type equations","authors":"H. Do","doi":"10.4064/ap220130-7-9","DOIUrl":"https://doi.org/10.4064/ap220130-7-9","url":null,"abstract":"In this paper, we show the existence and uniqueness of viscosity solution to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent results of Eyssidieux-Guedj-Zeriahi in [7].","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70585305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalized Second Main Theorem for closed subschemes 闭子格式的广义第二主定理
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-12 DOI: 10.4064/ap220604-10-11
L. Wang, T. Cao, Hongzhe Cao
{"title":"A generalized Second Main Theorem for closed subschemes","authors":"L. Wang, T. Cao, Hongzhe Cao","doi":"10.4064/ap220604-10-11","DOIUrl":"https://doi.org/10.4064/ap220604-10-11","url":null,"abstract":"Let Y1, . . . , Yq be closed subschemes located in l-subgeneral position with index κ in complex projective variety X of dimension n. Let A be an ample Cartier divisor on X. We obtain that if a holomorphic curve f : C → X is Zariski-dense, then for every ǫ > 0, q","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42265471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Complex boundary value problems in a lens 透镜中的复杂边值问题
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2022-01-01 DOI: 10.4064/ap220416-21-7
F. Joveini, M. Akbari
{"title":"Complex boundary value problems in a lens","authors":"F. Joveini, M. Akbari","doi":"10.4064/ap220416-21-7","DOIUrl":"https://doi.org/10.4064/ap220416-21-7","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70584907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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